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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Fri, 06 Sep 2024 14:17:00 -0400 Organization: Peripheral Visions Lines: 14 Message-ID: <vbfgv3$to83$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <0da78c91e9bc2e4dc5de13bd16e4037ceb8bdfd4@i2pn2.org> <vb57lf$2vud1$1@dont-email.me> <5d8b4ac0-3060-40df-8534-3e04bb77c12d@att.net> <vb6o0r$3a4m1$2@dont-email.me> <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <vbabbm$24a94$1@solani.org> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <vbd56i$fqa0$1@dont-email.me> <vbdbq3$gdoe$2@dont-email.me> <vbes57$qdqo$2@dont-email.me> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 06 Sep 2024 20:17:08 +0200 (CEST) Injection-Info: dont-email.me; posting-host="fa18074b67e997f02be6f5e9696d3e4b"; logging-data="975107"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+tLrirqCKayv+pdvK/gfmHDsaWIil6ii8=" Cancel-Lock: sha1:gFzLFwKYPpy/vSbVUtjflrtZG8k= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 1988 WM submitted this idea : > On 06.09.2024 00:36, Python wrote: >> Le 05/09/2024 à 22:44, crank Wolfgang Mückenheim, aka WM a écrit : > >>> >>> You are mistaken. I do not conclude the latter from the former. I conclude >>> the latter from the fact that NUF(0) = 0 and NUF(x>0) > 0 and never, at no >>> x, NUF can increase by more than 1. >> >> What the Hell could mean "to increase at an x" ? > > Example: The function f(x) = [x] increases at every x ∈ ℕ by 1. Make up your mind, is x real or natural.